I am providing you the syllabus of Msc Mathematics of Indian Institue of Technology IIT Roorkee

IIT Roorkee Msc Mathematics syllabus

Subject Code:MAN-511

Course Title: Theory of Ordinary Differential Equations

Contents

Existence, uniqueness and continuation of solutions of a differential
equation and system of differential equations, differential and integral
inequalities, fixed point methods.

Linear systems, properties of homogeneous and non-homogeneous
systems, behaviour of solutions of n
th order linear homogeneous equations.

Review of power series, power series solution of second order
homogeneous equations, ordinary points, regular singular points,
solution of Gauss hypergeometric equations, Hermite and Chebyshev
polynomials.

Boundary value problems for second order differential
equations,Green’s function and its applications. Eigen value problems,
self adjoint form, Sturm –Liouville problem and itsapplications.

Autonomous systems, phase plane and its phenomenon,critical points
and stability for linear and non linear systems, Liapunov’s direct
method, periodic solutions, limit cycle, Poincare-Bendixson theorem.

Suggested Books-

Name of Authors / Books / Publishers
Braun, M. “Differential Equations and Their Applications”, 4
th Ed., Springer

Brauer, F. and Nohel, J.A., “The Qualitative Theoryof Ordinary Differential
Equations”, Dover Publications

Coddington E.A., “Ordinary Differential Equations”, Tata McGraw
Hill

Deo, S.G., Lakshmikantham, V., and Raghvendra, V.,"Text Book of
Ordinary Differential Equations”, 2 nd Ed., Tata McGraw Hill

Simmons G.F., “Differential Equations with Applications and
Historical Notes”, 2nd Edition, Tata McGraw Hill

IIT Roorkee Msc Mathematics syllabus






For complete syllabus here is the attachment


Contact-

Indian Institute of Technology Roorkee
Roorkee - Haridwar Highway, Roorkee, Uttarakhand 247667

Attached Files

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